1051211600 has 60 divisors (see below), whose sum is σ = 2556044736. Its totient is φ = 415405440.

The previous prime is 1051211599. The next prime is 1051211627. The reversal of 1051211600 is 61121501.

1051211600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1051211600² = 2210091655949120000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17369 + ... + 49031.

Almost surely, 2^1051211600 is an apocalyptic number.

1051211600 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 1051211600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1278022368).

1051211600 is an abundant number, since it is smaller than the sum of its proper divisors (1504833136).

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

1051211600 is a wasteful number, since it uses less digits than its factorization.

1051211600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31764 (or 31753 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 17.

The square root of 1051211600 is about 32422.3934958541. The cubic root of 1051211600 is about 1016.7871480734.

Subtracting from 1051211600 its reverse (61121501), we obtain a palindrome (990090099).

The spelling of 1051211600 in words is "one billion, fifty-one million, two hundred eleven thousand, six hundred".