162351153261 has 48 divisors (see below), whose sum is σ = 259046723520. Its totient is φ = 97161120000.

The previous prime is 162351153233. The next prime is 162351153281.

162351153261 is a `hidden beast` number, since 1 + 62 + 3 + 5 + 1 + 1 + 532 + 61 = 666.

162351153261 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 162351153261 - 2¹⁴ = 162351136877 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (162351153281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3768201 + ... + 3811041.

It is an arithmetic number, because the mean of its divisors is an integer number (5396806740).

Almost surely, 2^162351153261 is an apocalyptic number.

162351153261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

162351153261 is a deficient number, since it is larger than the sum of its proper divisors (96695570259).

162351153261 is a wasteful number, since it uses less digits than its factorization.

162351153261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43338 (or 43335 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The spelling of 162351153261 in words is "one hundred sixty-two billion, three hundred fifty-one million, one hundred fifty-three thousand, two hundred sixty-one".