1505067867225 has 576 divisors, whose sum is σ = 3254016729600. Its totient is φ = 662328576000.

The previous prime is 1505067867223. The next prime is 1505067867229. The reversal of 1505067867225 is 5227687605051.

1505067867225 is a `hidden beast` number, since 1 + 5 + 0 + 506 + 78 + 67 + 2 + 2 + 5 = 666.

It is not a de Polignac number, because 1505067867225 - 2¹ = 1505067867223 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1505067867223) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 21198138940 + ... + 21198139010.

It is an arithmetic number, because the mean of its divisors is an integer number (5649334600).

Almost surely, 2^{1505067867225} is an apocalyptic number.

1505067867225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1505067867225 is an abundant number, since it is smaller than the sum of its proper divisors (1748948862375).

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

1505067867225 is a wasteful number, since it uses less digits than its factorization.

1505067867225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 1505067867225 in words is "one trillion, five hundred five billion, sixty-seven million, eight hundred sixty-seven thousand, two hundred twenty-five".