1309528497690 has 640 divisors, whose sum is σ = 4350276564480. Its totient is φ = 276016896000.

The previous prime is 1309528497689. The next prime is 1309528497703. The reversal of 1309528497690 is 967948259031.

1309528497690 is a `hidden beast` number, since 1 + 3 + 0 + 9 + 52 + 8 + 497 + 6 + 90 = 666.

It is a super-2 number, since 2×1309528497690² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 663723544 + ... + 663725516.

It is an arithmetic number, because the mean of its divisors is an integer number (6797307132).

It is a 1-persistent number, because it is pandigital, but 2⋅1309528497690 = 2619056995380 is not.

Almost surely, 2^{1309528497690} is an apocalyptic number.

1309528497690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1309528497690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2175138282240).

1309528497690 is an abundant number, since it is smaller than the sum of its proper divisors (3040748066790).

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

1309528497690 is a wasteful number, since it uses less digits than its factorization.

1309528497690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2180 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 1309528497690 in words is "one trillion, three hundred nine billion, five hundred twenty-eight million, four hundred ninety-seven thousand, six hundred ninety".