1051265600 has 504 divisors, whose sum is σ = 3490008768. Its totient is φ = 307507200.

The previous prime is 1051265569. The next prime is 1051265629. The reversal of 1051265600 is 65621501.

It is a super-2 number, since 2×1051265600² = 2210318723486720000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1051265600.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19835174 + ... + 19835226.

Almost surely, 2^1051265600 is an apocalyptic number.

1051265600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1051265600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745004384).

1051265600 is an abundant number, since it is smaller than the sum of its proper divisors (2438743168).

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

1051265600 is a wasteful number, since it uses less digits than its factorization.

1051265600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 26.

The square root of 1051265600 is about 32423.2262429265. The cubic root of 1051265600 is about 1016.8045583220.

The spelling of 1051265600 in words is "one billion, fifty-one million, two hundred sixty-five thousand, six hundred".