261473500500750 has 512 divisors, whose sum is σ = 798557999616000. Its totient is φ = 63021738700800.

The previous prime is 261473500500713. The next prime is 261473500500763. The reversal of 261473500500750 is 57005005374162.

It is a happy number.

261473500500750 is a `hidden beast` number, since 2 + 6 + 1 + 4 + 73 + 5 + 0 + 0 + 500 + 75 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 261473500500696 and 261473500500705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1147338814 + ... + 1147566686.

It is an arithmetic number, because the mean of its divisors is an integer number (1559683593000).

Almost surely, 2^{261473500500750} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 261473500500750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399278999808000).

261473500500750 is an abundant number, since it is smaller than the sum of its proper divisors (537084499115250).

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

261473500500750 is a wasteful number, since it uses less digits than its factorization.

261473500500750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228330 (or 228314 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The spelling of 261473500500750 in words is "two hundred sixty-one trillion, four hundred seventy-three billion, five hundred million, five hundred thousand, seven hundred fifty".