1157312500 has 42 divisors (see below), whose sum is σ = 2531725406. Its totient is φ = 462900000.

The previous prime is 1157312473. The next prime is 1157312501. The reversal of 1157312500 is 52137511.

It can be written as a sum of positive squares in 7 ways, for example, as 1132591716 + 24720784 = 33654^2 + 4972^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157312501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 53242 + ... + 71758.

Almost surely, 2^1157312500 is an apocalyptic number.

1157312500 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 1157312500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265862703).

1157312500 is an abundant number, since it is smaller than the sum of its proper divisors (1374412906).

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

1157312500 is an frugal number, since it uses more digits than its factorization.

1157312500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18551 (or 18524 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 25.

The square root of 1157312500 is about 34019.2959950673. The cubic root of 1157312500 is about 1049.9055092596.

The spelling of 1157312500 in words is "one billion, one hundred fifty-seven million, three hundred twelve thousand, five hundred".