1251253536 has 96 divisors (see below), whose sum is σ = 3563138880. Its totient is φ = 382178304.

The previous prime is 1251253529. The next prime is 1251253541. The reversal of 1251253536 is 6353521521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1251253536² = 3131270822705006592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1251253497 and 1251253506.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169866 + ... + 177078.

It is an arithmetic number, because the mean of its divisors is an integer number (37116030).

Almost surely, 2^1251253536 is an apocalyptic number.

1251253536 is a gapful number since it is divisible by the number (16) 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 1251253536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781569440).

1251253536 is an abundant number, since it is smaller than the sum of its proper divisors (2311885344).

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

1251253536 is a wasteful number, since it uses less digits than its factorization.

1251253536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7378 (or 7370 counting only the distinct ones).

The product of its digits is 27000, while the sum is 33.

The square root of 1251253536 is about 35373.0622932197. The cubic root of 1251253536 is about 1077.5773129065.

The spelling of 1251253536 in words is "one billion, two hundred fifty-one million, two hundred fifty-three thousand, five hundred thirty-six".