1032625152 has 352 divisors, whose sum is σ = 3507739200. Its totient is φ = 299040768.

The previous prime is 1032625147. The next prime is 1032625157. The reversal of 1032625152 is 2515262301.

It is a happy number.

1032625152 is a `hidden beast` number, since 1 + 0 + 32 + 625 + 1 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1032625147) and next prime (1032625157).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1032625157) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60742648 + ... + 60742664.

Almost surely, 2^1032625152 is an apocalyptic number.

1032625152 is a gapful number since it is divisible by the number (12) 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 1032625152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1753869600).

1032625152 is an abundant number, since it is smaller than the sum of its proper divisors (2475114048).

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

1032625152 is an equidigital number, since it uses as much as digits as its factorization.

1032625152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1032625152 is about 32134.4854012010. The cubic root of 1032625152 is about 1010.7588819986.

Adding to 1032625152 its reverse (2515262301), we get a palindrome (3547887453).

The spelling of 1032625152 in words is "one billion, thirty-two million, six hundred twenty-five thousand, one hundred fifty-two".