Search a number
-
+
2561525070 = 2351310960257
BaseRepresentation
bin1001100010101101…
…1100010101001110
320121111221221210220
42120223130111032
520221222300240
61102102212210
7120322414056
oct23053342516
96544857726
102561525070
1110a4a06775
125b5a24066
1331a8c1610
141a42a8566
15eed305d0
hex98adc54e

2561525070 has 64 divisors (see below), whose sum is σ = 6681407040. Its totient is φ = 624734208.

The previous prime is 2561525063. The next prime is 2561525077. The reversal of 2561525070 is 705251652.

2561525070 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2561525063) and next prime (2561525077).

It is a super-2 number, since 2×25615250702 = 13122821368477009800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561525077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12382 + ... + 72638.

It is an arithmetic number, because the mean of its divisors is an integer number (104396985).

Almost surely, 22561525070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2561525070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3340703520).

2561525070 is an abundant number, since it is smaller than the sum of its proper divisors (4119881970).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2561525070 is a wasteful number, since it uses less digits than its factorization.

2561525070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60389.

The product of its (nonzero) digits is 21000, while the sum is 33.

The square root of 2561525070 is about 50611.5112400331. The cubic root of 2561525070 is about 1368.2523526886.

The spelling of 2561525070 in words is "two billion, five hundred sixty-one million, five hundred twenty-five thousand, seventy".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 109 130 195 218 327 390 545 654 1090 1417 1635 2834 3270 4251 7085 8502 14170 21255 42510 60257 120514 180771 301285 361542 602570 783341 903855 1566682 1807710 2350023 3916705 4700046 6568013 7833410 11750115 13136026 19704039 23500230 32840065 39408078 65680130 85384169 98520195 170768338 197040390 256152507 426920845 512305014 853841690 1280762535 2561525070