1952251672900 has 81 divisors (see below), whose sum is σ = 4500791698039. Its totient is φ = 734875912960.

The previous prime is 1952251672879. The next prime is 1952251672909. The reversal of 1952251672900 is 92761522591.

The square root of 1952251672900 is 1397230.

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

It can be written as a sum of positive squares in 4 ways, for example, as 45665125636 + 1906586547264 = 213694^2 + 1380792^2 .

It is a super-2 number, since 2×1952251672900² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1952251672909) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 237524991 + ... + 237533209.

Almost surely, 2^{1952251672900} is an apocalyptic number.

1952251672900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1952251672900 is the 1397230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1952251672900

1952251672900 is an abundant number, since it is smaller than the sum of its proper divisors (2548540025139).

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

1952251672900 is an frugal number, since it uses more digits than its factorization.

1952251672900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16486 (or 8243 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 49.

Multiplying 1952251672900 by its sum of digits (49), we get a square (95660331972100 = 9780610²).

The spelling of 1952251672900 in words is "one trillion, nine hundred fifty-two billion, two hundred fifty-one million, six hundred seventy-two thousand, nine hundred".