1925045251600 has 135 divisors (see below), whose sum is σ = 4663438846549. Its totient is φ = 763657984000.

The previous prime is 1925045251583. The next prime is 1925045251607. The reversal of 1925045251600 is 61525405291.

The square root of 1925045251600 is 1387460.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 107251010064 + 1817794241536 = 327492^2 + 1348256^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1925045251607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4800611400 + ... + 4800611800.

Almost surely, 2^{1925045251600} is an apocalyptic number.

1925045251600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1925045251600 is the 1387460-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1925045251600

1925045251600 is an abundant number, since it is smaller than the sum of its proper divisors (2738393594949).

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

1925045251600 is an frugal number, since it uses more digits than its factorization.

1925045251600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 40.

The spelling of 1925045251600 in words is "one trillion, nine hundred twenty-five billion, forty-five million, two hundred fifty-one thousand, six hundred".