36027257157441 has 135 divisors (see below), whose sum is σ = 62452771559409. Its totient is φ = 20679024049200.

The previous prime is 36027257157433. The next prime is 36027257157449. The reversal of 36027257157441 is 14475175272063.

The square root of 36027257157441 is 6002271.

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

36027257157441 is a `hidden beast` number, since 3 + 6 + 0 + 2 + 7 + 25 + 7 + 1 + 574 + 41 = 666.

It is an interprime number because it is at equal distance from previous prime (36027257157433) and next prime (36027257157449).

It is not a de Polignac number, because 36027257157441 - 2³ = 36027257157433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (36027257157449) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 11290270156 + ... + 11290273346.

Almost surely, 2^{36027257157441} is an apocalyptic number.

36027257157441 is the 6002271-st square number.

36027257157441 is the 3001136-th centered octagonal number.

It is an amenable number.

36027257157441 is a deficient number, since it is larger than the sum of its proper divisors (26425514401968).

36027257157441 is an frugal number, since it uses more digits than its factorization.

36027257157441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6454 (or 3224 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 36027257157441 in words is "thirty-six trillion, twenty-seven billion, two hundred fifty-seven million, one hundred fifty-seven thousand, four hundred forty-one".