2512005135520 has 96 divisors (see below), whose sum is σ = 6006206436048. Its totient is φ = 992716259328.

The previous prime is 2512005135509. The next prime is 2512005135529. The reversal of 2512005135520 is 255315002152.

It can be written as a sum of positive squares in 8 ways, for example, as 929612218896 + 1582392916624 = 964164^2 + 1257932^2 .

It is not an unprimeable number, because it can be changed into a prime (2512005135529) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8814784 + ... + 9095296.

Almost surely, 2^{2512005135520} is an apocalyptic number.

2512005135520 is a gapful number since it is divisible by the number (20) 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 2512005135520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3003103218024).

2512005135520 is an abundant number, since it is smaller than the sum of its proper divisors (3494201300528).

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

2512005135520 is a wasteful number, since it uses less digits than its factorization.

2512005135520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281202 (or 281194 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 31.

The spelling of 2512005135520 in words is "two trillion, five hundred twelve billion, five million, one hundred thirty-five thousand, five hundred twenty".