1953162773136 has 75 divisors (see below), whose sum is σ = 5653165345113. Its totient is φ = 651037487040.

The previous prime is 1953162773101. The next prime is 1953162773147. The reversal of 1953162773136 is 6313772613591.

It is a happy number.

The square root of 1953162773136 is 1397556.

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

1953162773136 is a `hidden beast` number, since 1 + 9 + 5 + 3 + 1 + 627 + 7 + 3 + 1 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1195427342736 + 757735430400 = 1093356^2 + 870480^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 50292606 + ... + 50331426.

Almost surely, 2^{1953162773136} is an apocalyptic number.

1953162773136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1953162773136 is the 1397556-th square number.

It is an amenable number.

1953162773136 is an abundant number, since it is smaller than the sum of its proper divisors (3700002571977).

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

1953162773136 is an frugal number, since it uses more digits than its factorization.

1953162773136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77662 (or 38826 counting only the distinct ones).

The product of its digits is 4286520, while the sum is 54.

The spelling of 1953162773136 in words is "one trillion, nine hundred fifty-three billion, one hundred sixty-two million, seven hundred seventy-three thousand, one hundred thirty-six".