495981017532 has 384 divisors, whose sum is σ = 1786037299200. Its totient is φ = 114815232000.

The previous prime is 495981017531. The next prime is 495981017551. The reversal of 495981017532 is 235710189594.

It is a happy number.

495981017532 is a `hidden beast` number, since 4 + 9 + 5 + 98 + 1 + 0 + 17 + 532 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495981017531) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3056032 + ... + 3214232.

It is an arithmetic number, because the mean of its divisors is an integer number (4651138800).

Almost surely, 2^495981017532 is an apocalyptic number.

495981017532 is a gapful number since it is divisible by the number (42) 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 495981017532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (893018649600).

495981017532 is an abundant number, since it is smaller than the sum of its proper divisors (1290056281668).

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

495981017532 is a wasteful number, since it uses less digits than its factorization.

495981017532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158274 (or 158266 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 495981017532 in words is "four hundred ninety-five billion, nine hundred eighty-one million, seventeen thousand, five hundred thirty-two".