1025053605972 has 576 divisors, whose sum is σ = 3152004710400. Its totient is φ = 277385472000.

The previous prime is 1025053605941. The next prime is 1025053605973. The reversal of 1025053605972 is 2795063505201.

1025053605972 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 0 + 53 + 6 + 0 + 597 + 2 = 666.

1025053605972 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025053605973) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1967473072 + ... + 1967473592.

It is an arithmetic number, because the mean of its divisors is an integer number (5472230400).

Almost surely, 2^{1025053605972} is an apocalyptic number.

1025053605972 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 1025053605972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576002355200).

1025053605972 is an abundant number, since it is smaller than the sum of its proper divisors (2126951104428).

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

1025053605972 is a wasteful number, since it uses less digits than its factorization.

1025053605972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 1025053605972 in words is "one trillion, twenty-five billion, fifty-three million, six hundred five thousand, nine hundred seventy-two".