1051457512032 has 192 divisors, whose sum is σ = 3085316075520. Its totient is φ = 348367219200.

The previous prime is 1051457512031. The next prime is 1051457512097. The reversal of 1051457512032 is 2302157541501.

1051457512032 is a `hidden beast` number, since 1 + 0 + 51 + 4 + 575 + 1 + 2 + 0 + 32 = 666.

It is a super-2 number, since 2×1051457512032² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1051457512031) 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, 330541482 + ... + 330544662.

It is an arithmetic number, because the mean of its divisors is an integer number (16069354560).

Almost surely, 2^{1051457512032} is an apocalyptic number.

1051457512032 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 1051457512032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542658037760).

1051457512032 is an abundant number, since it is smaller than the sum of its proper divisors (2033858563488).

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

1051457512032 is a wasteful number, since it uses less digits than its factorization.

1051457512032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5394 (or 5380 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The spelling of 1051457512032 in words is "one trillion, fifty-one billion, four hundred fifty-seven million, five hundred twelve thousand, thirty-two".