152261020162251 has 72 divisors (see below), whose sum is σ = 297531176415200. Its totient is φ = 73012277352960.

The previous prime is 152261020162213. The next prime is 152261020162403.

152261020162251 is a `hidden beast` number, since 1 + 5 + 2 + 2 + 6 + 1 + 0 + 20 + 1 + 622 + 5 + 1 = 666.

152261020162251 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 152261020162251 - 2¹³ = 152261020154059 is a prime.

It is not an unprimeable number, because it can be changed into a prime (152261020162751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 768127726 + ... + 768325923.

Almost surely, 2^{152261020162251} is an apocalyptic number.

152261020162251 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

152261020162251 is a deficient number, since it is larger than the sum of its proper divisors (145270156252949).

152261020162251 is a wasteful number, since it uses less digits than its factorization.

152261020162251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536453697 (or 1536453683 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 152261020162251 in words is "one hundred fifty-two trillion, two hundred sixty-one billion, twenty million, one hundred sixty-two thousand, two hundred fifty-one".