1540535051352 has 128 divisors (see below), whose sum is σ = 4295955456000. Its totient is φ = 456443994240.

The previous prime is 1540535051329. The next prime is 1540535051357. The reversal of 1540535051352 is 2531505350451.

It is a self number, because there is not a number n which added to its sum of digits gives 1540535051352.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1540535051357) 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, 1789599 + ... + 2506737.

It is an arithmetic number, because the mean of its divisors is an integer number (33562152000).

Almost surely, 2^{1540535051352} is an apocalyptic number.

1540535051352 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 1540535051352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2147977728000).

1540535051352 is an abundant number, since it is smaller than the sum of its proper divisors (2755420404648).

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

1540535051352 is a wasteful number, since it uses less digits than its factorization.

1540535051352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717341 (or 717337 counting only the distinct ones).

The product of its (nonzero) digits is 225000, while the sum is 39.

The spelling of 1540535051352 in words is "one trillion, five hundred forty billion, five hundred thirty-five million, fifty-one thousand, three hundred fifty-two".