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1307907225 = 325224112
BaseRepresentation
bin100110111110101…
…0001010010011001
310101011001120102100
41031331101102121
510134311012400
6333440554013
744261012412
oct11575212231
93334046370
101307907225
11611309069
12306022909
1317ac76101
14c59bc809
1579c53100
hex4df51499

1307907225 has 27 divisors (see below), whose sum is σ = 2343579199. Its totient is φ = 697261200.

The previous prime is 1307907217. The next prime is 1307907229. The reversal of 1307907225 is 5227097031.

The square root of 1307907225 is 36165.

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., 470846601 + 837060624 = 21699^2 + 28932^2 .

It is not a de Polignac number, because 1307907225 - 23 = 1307907217 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1307907225.

It is not an unprimeable number, because it can be changed into a prime (1307907229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 541270 + ... + 543680.

Almost surely, 21307907225 is an apocalyptic number.

1307907225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1307907225 is the 36165-th square number.

1307907225 is the 18083-rd centered octagonal number.

It is an amenable number.

1307907225 is a deficient number, since it is larger than the sum of its proper divisors (1035671974).

1307907225 is an frugal number, since it uses more digits than its factorization.

1307907225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4838 (or 2419 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The cubic root of 1307907225 is about 1093.6012038128.

Multiplying 1307907225 by its sum of digits (36), we get a square (47084660100 = 2169902).

The spelling of 1307907225 in words is "one billion, three hundred seven million, nine hundred seven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 2411 7233 12055 21699 36165 60275 108495 180825 542475 5812921 17438763 29064605 52316289 87193815 145323025 261581445 435969075 1307907225