1525213012000 has 384 divisors, whose sum is σ = 3948497280000. Its totient is φ = 578492928000.

The previous prime is 1525213011983. The next prime is 1525213012027. The reversal of 1525213012000 is 2103125251.

It is a super-2 number, since 2×1525213012000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 762987001 + ... + 762988999.

It is an arithmetic number, because the mean of its divisors is an integer number (10282545000).

Almost surely, 2^{1525213012000} is an apocalyptic number.

1525213012000 is a gapful number since it is divisible by the number (10) 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 1525213012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974248640000).

1525213012000 is an abundant number, since it is smaller than the sum of its proper divisors (2423284268000).

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

1525213012000 is a wasteful number, since it uses less digits than its factorization.

1525213012000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2197 (or 2179 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

Adding to 1525213012000 its reverse (2103125251), we get a palindrome (1527316137251).

The spelling of 1525213012000 in words is "one trillion, five hundred twenty-five billion, two hundred thirteen million, twelve thousand".