1953164052 has 144 divisors (see below), whose sum is σ = 6131507200. Its totient is φ = 511583040.

The previous prime is 1953164047. The next prime is 1953164089. The reversal of 1953164052 is 2504613591.

1953164052 is a `hidden beast` number, since 1 + 9 + 5 + 3 + 1 + 640 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1953163998 and 1953164016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141849 + ... + 155007.

Almost surely, 2^1953164052 is an apocalyptic number.

1953164052 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 1953164052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3065753600).

1953164052 is an abundant number, since it is smaller than the sum of its proper divisors (4178343148).

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

1953164052 is a wasteful number, since it uses less digits than its factorization.

1953164052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13226 (or 13221 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 1953164052 is about 44194.6156448950. The cubic root of 1953164052 is about 1250.0083310378.

The spelling of 1953164052 in words is "one billion, nine hundred fifty-three million, one hundred sixty-four thousand, fifty-two".