155590013601 has 27 divisors (see below), whose sum is σ = 247050175827. Its totient is φ = 94289088960.

The previous prime is 155590013573. The next prime is 155590013609. The reversal of 155590013601 is 106310095551.

The square root of 155590013601 is 394449.

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

155590013601 is a `hidden beast` number, since 1 + 5 + 5 + 590 + 0 + 1 + 3 + 60 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 140906390625 + 14683622976 = 375375^2 + 121176^2 .

It is not a de Polignac number, because 155590013601 - 2²⁹ = 155053142689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (155590013609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13010841 + ... + 13022793.

Almost surely, 2^155590013601 is an apocalyptic number.

155590013601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

155590013601 is the 394449-th square number.

155590013601 is the 197225-th centered octagonal number.

It is an amenable number.

155590013601 is a deficient number, since it is larger than the sum of its proper divisors (91460162226).

155590013601 is an frugal number, since it uses more digits than its factorization.

155590013601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23934 (or 11967 counting only the distinct ones).

The product of its (nonzero) digits is 20250, while the sum is 36.

Multiplying 155590013601 by its sum of digits (36), we get a square (5601240489636 = 2366694²).

The spelling of 155590013601 in words is "one hundred fifty-five billion, five hundred ninety million, thirteen thousand, six hundred one".