1953529056 has 192 divisors, whose sum is σ = 5907686400. Its totient is φ = 627637248.

The previous prime is 1953529051. The next prime is 1953529057. The reversal of 1953529056 is 6509253591.

It is a super-2 number, since 2×1953529056² = 7632551545272502272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1953529051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2964055 + ... + 2964713.

It is an arithmetic number, because the mean of its divisors is an integer number (30769200).

Almost surely, 2^1953529056 is an apocalyptic number.

1953529056 is a gapful number since it is divisible by the number (16) 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 1953529056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2953843200).

1953529056 is an abundant number, since it is smaller than the sum of its proper divisors (3954157344).

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

1953529056 is a wasteful number, since it uses less digits than its factorization.

1953529056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 364500, while the sum is 45.

The square root of 1953529056 is about 44198.7449595574. The cubic root of 1953529056 is about 1250.0861926699.

The spelling of 1953529056 in words is "one billion, nine hundred fifty-three million, five hundred twenty-nine thousand, fifty-six".