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1301321970025 = 527211229632
BaseRepresentation
bin10010111011111100110…
…101010111000101101001
311121101221100212111011221
4102323330311113011221
5132310101411020100
62433452530022041
7163005654144400
oct22737465270551
94541840774157
101301321970025
11461984365900
12190256117921
1395938c5541c
1446dacd88637
1523cb500501a
hex12efcd57169

1301321970025 has 81 divisors (see below), whose sum is σ = 2063944860663. Its totient is φ = 810939914400.

The previous prime is 1301321970023. The next prime is 1301321970031. The reversal of 1301321970025 is 5200791231031.

The square root of 1301321970025 is 1140755.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 468475909209 + 832846060816 = 684453^2 + 912604^2 .

It is not a de Polignac number, because 1301321970025 - 21 = 1301321970023 is a prime.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1301321970023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 439189194 + ... + 439192156.

Almost surely, 21301321970025 is an apocalyptic number.

1301321970025 is the 1140755-th square number.

1301321970025 is the 570378-th centered octagonal number.

It is an amenable number.

1301321970025 is a deficient number, since it is larger than the sum of its proper divisors (762622890638).

1301321970025 is an frugal number, since it uses more digits than its factorization.

1301321970025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5972 (or 2986 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 34.

The spelling of 1301321970025 in words is "one trillion, three hundred one billion, three hundred twenty-one million, nine hundred seventy thousand, twenty-five".

Divisors: 1 5 7 11 25 35 49 55 77 121 175 245 275 385 539 605 847 1225 1925 2695 2963 3025 4235 5929 13475 14815 20741 21175 29645 32593 74075 103705 145187 148225 162965 228151 358523 518525 725935 814825 1140755 1597057 1792615 2509661 3629675 5703775 7985285 8779369 8963075 12548305 17567627 39926425 43896845 61455583 62741525 87838135 96573059 219484225 307277915 430189081 439190675 482865295 676011413 1062303649 1536389575 2150945405 2414326475 3380057065 4732079891 5311518245 7436125543 10754727025 16900285325 23660399455 26557591225 37180627715 52052878801 118301997275 185903138575 260264394005 1301321970025