1531325250 has 384 divisors, whose sum is σ = 5304079872. Its totient is φ = 321926400.

The previous prime is 1531325249. The next prime is 1531325261. The reversal of 1531325250 is 525231351.

It is a happy number.

1531325250 is a `hidden beast` number, since 1 + 5 + 3 + 132 + 525 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5528112 + ... + 5528388.

It is an arithmetic number, because the mean of its divisors is an integer number (13812708).

Almost surely, 2^1531325250 is an apocalyptic number.

1531325250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1531325250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2652039936).

1531325250 is an abundant number, since it is smaller than the sum of its proper divisors (3772754622).

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

1531325250 is a wasteful number, since it uses less digits than its factorization.

1531325250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 1531325250 is about 39132.1511036641. The cubic root of 1531325250 is about 1152.6279535397.

The spelling of 1531325250 in words is "one billion, five hundred thirty-one million, three hundred twenty-five thousand, two hundred fifty".