155529607264801 has 81 divisors (see below), whose sum is σ = 200392868447667. Its totient is φ = 120267789475680.

The previous prime is 155529607264781. The next prime is 155529607264819. The reversal of 155529607264801 is 108462706925551.

It is a happy number.

The square root of 155529607264801 is 12471151.

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

155529607264801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 18221364285201 + 137308242979600 = 4268649^2 + 11717860^2 .

It is not a de Polignac number, because 155529607264801 - 2⁵ = 155529607264769 is a prime.

It is a super-4 number, since 4×155529607264801⁴ (a number of 58 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 155529607264801.

It is not an unprimeable number, because it can be changed into a prime (155529607234801) 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, 143081514880 + ... + 143081515966.

Almost surely, 2^{155529607264801} is an apocalyptic number.

155529607264801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

155529607264801 is the 12471151-st square number.

155529607264801 is the 6235576-th centered octagonal number.

It is an amenable number.

155529607264801 is a deficient number, since it is larger than the sum of its proper divisors (44863261182866).

155529607264801 is an frugal number, since it uses more digits than its factorization.

155529607264801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 61.

The spelling of 155529607264801 in words is "one hundred fifty-five trillion, five hundred twenty-nine billion, six hundred seven million, two hundred sixty-four thousand, eight hundred one".