1051662564 has 36 divisors (see below), whose sum is σ = 2661291724. Its totient is φ = 350168832.

The previous prime is 1051662527. The next prime is 1051662611. The reversal of 1051662564 is 4652661501.

1051662564 is a `hidden beast` number, since 10 + 5 + 16 + 625 + 6 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 384473664 + 667188900 = 19608^2 + 25830^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1051662564² = 2211988297038108192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 18144 + ... + 49320.

Almost surely, 2^1051662564 is an apocalyptic number.

It is an amenable number.

1051662564 is an abundant number, since it is smaller than the sum of its proper divisors (1609629160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1051662564 is a wasteful number, since it uses less digits than its factorization.

1051662564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32124 (or 32119 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 1051662564 is about 32429.3472644764. The cubic root of 1051662564 is about 1016.9325259864.

The spelling of 1051662564 in words is "one billion, fifty-one million, six hundred sixty-two thousand, five hundred sixty-four".