1051153200 has 150 divisors (see below), whose sum is σ = 3772620764. Its totient is φ = 280298880.

The previous prime is 1051153141. The next prime is 1051153211. The reversal of 1051153200 is 23511501.

It is a tau number, because it is divible by the number of its divisors (150).

It is a super-2 number, since 2×1051153200² = 2209846099740480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16179 + ... + 48621.

Almost surely, 2^1051153200 is an apocalyptic number.

1051153200 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 1051153200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886310382).

1051153200 is an abundant number, since it is smaller than the sum of its proper divisors (2721467564).

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

1051153200 is a wasteful number, since it uses less digits than its factorization.

1051153200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32473 (or 32453 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 1051153200 is about 32421.4928712421. The cubic root of 1051153200 is about 1016.7683185409.

Adding to 1051153200 its reverse (23511501), we get a palindrome (1074664701).

The spelling of 1051153200 in words is "one billion, fifty-one million, one hundred fifty-three thousand, two hundred".