1511225664 has 112 divisors (see below), whose sum is σ = 4317723648. Its totient is φ = 463730688.

The previous prime is 1511225657. The next prime is 1511225671. The reversal of 1511225664 is 4665221151.

It is an interprime number because it is at equal distance from previous prime (1511225657) and next prime (1511225671).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1389729 + ... + 1390815.

It is an arithmetic number, because the mean of its divisors is an integer number (38551104).

Almost surely, 2^1511225664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1511225664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2158861824).

1511225664 is an abundant number, since it is smaller than the sum of its proper divisors (2806497984).

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

1511225664 is a wasteful number, since it uses less digits than its factorization.

1511225664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1672 (or 1662 counting only the distinct ones).

The product of its digits is 14400, while the sum is 33.

The square root of 1511225664 is about 38874.4860287567. The cubic root of 1511225664 is about 1147.5627434709.

The spelling of 1511225664 in words is "one billion, five hundred eleven million, two hundred twenty-five thousand, six hundred sixty-four".