1025961552 has 480 divisors, whose sum is σ = 3899750400. Its totient is φ = 253186560.

The previous prime is 1025961551. The next prime is 1025961557. The reversal of 1025961552 is 2551695201.

1025961552 is a `hidden beast` number, since 1 + 0 + 2 + 596 + 15 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025961551) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6885574 + ... + 6885722.

It is an arithmetic number, because the mean of its divisors is an integer number (8124480).

Almost surely, 2^1025961552 is an apocalyptic number.

1025961552 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 1025961552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949875200).

1025961552 is an abundant number, since it is smaller than the sum of its proper divisors (2873788848).

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

1025961552 is a wasteful number, since it uses less digits than its factorization.

1025961552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The square root of 1025961552 is about 32030.6345862832. The cubic root of 1025961552 is about 1008.5800233218.

The spelling of 1025961552 in words is "one billion, twenty-five million, nine hundred sixty-one thousand, five hundred fifty-two".