30495287641 has 81 divisors (see below), whose sum is σ = 40946295933. Its totient is φ = 22631918400.

The previous prime is 30495287639. The next prime is 30495287651. The reversal of 30495287641 is 14678259403.

It is a happy number.

The square root of 30495287641 is 174629.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1150227225 + 29345060416 = 33915^2 + 171304^2 .

It is not a de Polignac number, because 30495287641 - 2¹ = 30495287639 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (30495287611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 301933491 + ... + 301933591.

It is a 1-persistent number, because it is pandigital, but 2⋅30495287641 = 60990575282 is not.

Almost surely, 2^30495287641 is an apocalyptic number.

30495287641 is the 174629-th square number.

30495287641 is the 87315-th centered octagonal number.

It is an amenable number.

30495287641 is a deficient number, since it is larger than the sum of its proper divisors (10451008292).

30495287641 is a wasteful number, since it uses less digits than its factorization.

30495287641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

Multiplying 30495287641 by its sum of digits (49), we get a square (1494269094409 = 1222403²).

30495287641 divided by its sum of digits (49) gives a square (622352809 = 24947²).

The spelling of 30495287641 in words is "thirty billion, four hundred ninety-five million, two hundred eighty-seven thousand, six hundred forty-one".