36031252761 has 135 divisors (see below), whose sum is σ = 65956211013. Its totient is φ = 19543764240.

The previous prime is 36031252759. The next prime is 36031252781. The reversal of 36031252761 is 16725213063.

The square root of 36031252761 is 189819.

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

36031252761 is a `hidden beast` number, since 3 + 60 + 3 + 12 + 527 + 61 = 666.

It is not a de Polignac number, because 36031252761 - 2¹ = 36031252759 is a prime.

It is not an unprimeable number, because it can be changed into a prime (36031252781) 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, 275047666 + ... + 275047796.

Almost surely, 2^36031252761 is an apocalyptic number.

36031252761 is the 189819-th square number.

36031252761 is the 94910-th centered octagonal number.

It is an amenable number.

36031252761 is a deficient number, since it is larger than the sum of its proper divisors (29924958252).

36031252761 is an equidigital number, since it uses as much as digits as its factorization.

36031252761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Multiplying 36031252761 by its sum of digits (36), we get a square (1297125099396 = 1138914²).

The spelling of 36031252761 in words is "thirty-six billion, thirty-one million, two hundred fifty-two thousand, seven hundred sixty-one".