35256211265253 has 32 divisors (see below), whose sum is σ = 54319392322560. Its totient is φ = 20102696226560.

The previous prime is 35256211265243. The next prime is 35256211265263.

It is a happy number.

35256211265253 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (35256211265243) and next prime (35256211265263).

It is a cyclic number.

It is not a de Polignac number, because 35256211265253 - 2¹² = 35256211261157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35256211265243) 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, 10737225 + ... + 13630862.

It is an arithmetic number, because the mean of its divisors is an integer number (1697481010080).

Almost surely, 2^{35256211265253} is an apocalyptic number.

35256211265253 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

35256211265253 is a deficient number, since it is larger than the sum of its proper divisors (19063181057307).

35256211265253 is a wasteful number, since it uses less digits than its factorization.

35256211265253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24370697.

The product of its digits is 3240000, while the sum is 48.

The spelling of 35256211265253 in words is "thirty-five trillion, two hundred fifty-six billion, two hundred eleven million, two hundred sixty-five thousand, two hundred fifty-three".