1925133120 has 168 divisors, whose sum is σ = 6909791616. Its totient is φ = 491031552.

The previous prime is 1925133109. The next prime is 1925133131. The reversal of 1925133120 is 213315291.

It is an interprime number because it is at equal distance from previous prime (1925133109) and next prime (1925133131).

It is a super-2 number, since 2×1925133120² = 7412275059441868800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51709 + ... + 80771.

It is an arithmetic number, because the mean of its divisors is an integer number (41129712).

Almost surely, 2^1925133120 is an apocalyptic number.

1925133120 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 1925133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3454895808).

1925133120 is an abundant number, since it is smaller than the sum of its proper divisors (4984658496).

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

1925133120 is a wasteful number, since it uses less digits than its factorization.

1925133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29109 (or 29096 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 1925133120 is about 43876.3389539282. The cubic root of 1925133120 is about 1243.9996415807. Note that the first 3 decimals are identical.

The spelling of 1925133120 in words is "one billion, nine hundred twenty-five million, one hundred thirty-three thousand, one hundred twenty".